Green Eggs and Ham LLC has a WACC of 11.0% and the CFO has forecasted the following free cash flows (FCFs):
Year |
1 |
2 |
Free Cash flow |
-$50 |
$145 |
The firm also has $800 million in debt with 10 million shares outstanding. If FCFs grow at a forever rate of 5.0% after Year 2, what is the price per share of Green Eggs and Ham LLC?
a. |
$133.21 |
|
b. |
$72.73 |
|
c. |
$213.21 |
|
d. |
$173.75 |
|
e. |
$137.72 |
The price per share is computed as shown below:
= FCF in year 1 / (1 + WACC) + FCF in year 2 / (1 + WACC)2 + 1 / (1 + WACC)2 [ ( FCF in year 2 (1 + growth rate) / ( WACC - growth rate) ]
= - $ 50 million / 1.11 + $ 145 million / 1.112 + 1 / 1.112 [ ($ 145 million (1 + 0.05) / ( 0.11 - 0.05) ]
= - $ 50 million / 1.11 + $ 145 million / 1.112 + $ 2,537.5 millon / 1.112
= - $ 50 million / 1.11 + $ 2,682.5 million / 1.112
= $ 2,132.132132 million
So, the price per share will be computed as follows:
= ($ 2,132.132132 million - Debt) / Number of shares
= ($ 2,132.132132 million - $ 800 million) / 10 million
= $ 133.21 Approximately
So, the correct answer is option a.
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